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Theorem ad5ant12 27894
Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.)
Hypothesis
Ref Expression
ad5ant12.1  |-  ( (
ph  /\  ps )  ->  ch )
Assertion
Ref Expression
ad5ant12  |-  ( ( ( ( ( ph  /\ 
ps )  /\  th )  /\  ta )  /\  et )  ->  ch )

Proof of Theorem ad5ant12
StepHypRef Expression
1 ad5ant12.1 . 2  |-  ( (
ph  /\  ps )  ->  ch )
21ad3antrrr 711 1  |-  ( ( ( ( ( ph  /\ 
ps )  /\  th )  /\  ta )  /\  et )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 359
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-an 361
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